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Finding the Fourth Proportional to 6,783.96, 9,363 and 4,131

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Solution

The fourth proportional to 6,783.96, 9,363 and 4,131 is: 5,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.96 : 9,363 = 4,131 : x
  2. Step 2: Convert to fraction form
    6,783.96/9,363 = 4,131/x
  3. Step 3: Cross multiply
    6,783.96x = 9,363 × 4,131
  4. Step 4: Simplify right side
    6,783.96x = 38,678,553
  5. Step 5: Solve for x
    x = 38,678,553/6,783.96
  6. Step 6: Final answer
    x = 5,701.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.